一类不确定离散系统的生存性判别  

Determining viability for a class of uncertain discrete systems

作　　者：陈征[1,2] 高岩[1] 

机构地区：[1]上海理工大学管理学院,上海200093 [2]宁波工程学院理学院,浙江宁波315211

出　　处：《控制与决策》2014年第5期867-872,共6页Control and Decision

基　　金：国家自然科学基金项目(11171221;40901241);上海市科委与地方院校能力建设项目(10550500800)

摘　　要：研究一类非线性不确定系统的生存性问题.基于支撑函数,给出了此系统在凸紧集下可生存的充要条件.当生存域为多面体时,分别针对多面体和的形式和交的形式给出了系统生存的充分条件.最后给出的算例表明了所提出方法的有效性,同时表明所得结果实际上给出了某类切换系统的生存性条件.The problem of viability for a class of nonlinear uncertain systems is studied. A sufficient and necessary condition of viability for the convex compact set under this system via support functions is presented. When the viable set is a polytope, sufficient conditions for the sum form and intersection form of the polytope are given to determine the viability. Finally, a numerical example is presented to illustrate the result, and the example shows that the main result also gives a condition of viability for a kind of switched systems.

关 键 词：不确定系统 切换系统 生存性 

分 类 号：TD350[矿业工程—矿井建设]